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Finding the Fourth Proportional to 46,737.92, 70,094.88 and 13,458.08

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Solution

The fourth proportional to 46,737.92, 70,094.88 and 13,458.08 is: 20,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737.92 : 70,094.88 = 13,458.08 : x
  2. Step 2: Convert to fraction form
    46,737.92/70,094.88 = 13,458.08/x
  3. Step 3: Cross multiply
    46,737.92x = 70,094.88 × 13,458.08
  4. Step 4: Simplify right side
    46,737.92x = 943,342,502.63
  5. Step 5: Solve for x
    x = 943,342,502.63/46,737.92
  6. Step 6: Final answer
    x = 20,183.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.